Profiling results ----------------- Total cpu time observed: 88868ms (out of 89916ms) Number of samples taken: 257 (once every 346ms) (Hiding functions with self<1.0% and local<2.0%: 4 of 220 hidden) ========================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================================== run [24] 50.0% [1] 88868(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [12] 50.0% run-improve39 [13] 31.4% loop [33] 9.1% prepare-points [34] 8.4% get-final-combination [19] 1.0% ------------------------------------------------------------------------------------------ ??? [101] 100.0% [2] 8790(9.9%) 0(0.0%) approximate9 ...e/develop/src/core/taylor.rkt:12:0 loop [15] 64.0% for-loop [17] 32.3% taylor [27] 3.7% ------------------------------------------------------------------------------------------ hash-ref! [113] 100.0% [3] 6276(7.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:282:26 for-loop [14] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [113] 100.0% [4] 2794(3.1%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:292:23 for-loop [18] 100.0% ------------------------------------------------------------------------------------------ loop [176] 28.4% for-loop [197] 71.6% [5] 2352(2.6%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [16] 100.0% ------------------------------------------------------------------------------------------ append-map [98] 100.0% [6] 1290(1.5%) 0(0.0%) free-variables ...ie/develop/src/programs.rkt:80:0 ??? [48] 75.0% variable? [21] 25.0% ------------------------------------------------------------------------------------------ hash-ref! [113] 100.0% [7] 1256(1.4%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:405:23 for-loop [20] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [113] 100.0% [8] 932(1.0%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:389:23 for-loop [22] 100.0% ------------------------------------------------------------------------------------------ loop [9] 50.0% map [96] 50.0% [9] 360(0.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:54:19 loop [9] 50.0% ??? [23] 50.0% ------------------------------------------------------------------------------------------ taylor [27] 100.0% [10] 310(0.3%) 0(0.0%) taylor-exp ...ie/develop/src/core/taylor.rkt:383:0 simplify [26] 100.0% ------------------------------------------------------------------------------------------ for-loop [197] 100.0% [11] 296(0.3%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [187] 100.0% ------------------------------------------------------------------------------------------ ??? [1] 100.0% [12] 88868(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [24] 100.0% ------------------------------------------------------------------------------------------ ??? [1] 100.0% [13] 55764(62.7%) 0(0.0%) run-improve39 ...ie/develop/src/mainloop.rkt:286:0 for-loop [25] 97.7% setup-prog!32 [30] 1.7% for-loop [31] 0.6% ------------------------------------------------------------------------------------------ ??? [3] 100.0% [14] 6276(7.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:282:52 ??? [28] 48.9% hash-ref! [113] 46.1% simplify [26] 4.9% ------------------------------------------------------------------------------------------ approximate9 [2] 100.0% [15] 5624(6.3%) 0(0.0%) loop ...es/herbie/develop/src/core/taylor.rkt:86:4 hash-ref! [113] 60.7% ??? [101] 39.3% ------------------------------------------------------------------------------------------ expand-id-application-form17 [181] 22.6% syntax-e [5] 77.4% [16] 3040(3.4%) 0(0.0%) syntax-e/no-taint (unknown source) loop [176] 100.0% ------------------------------------------------------------------------------------------ approximate9 [2] 100.0% [17] 2842(3.2%) 0(0.0%) for-loop ...rbie/develop/src/core/taylor.rkt:29:18 taylor [27] 100.0% ------------------------------------------------------------------------------------------ ??? [4] 100.0% [18] 2794(3.1%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:295:27 hash-ref! [113] 100.0% ------------------------------------------------------------------------------------------ ??? [1] 100.0% [19] 1856(2.1%) 0(0.0%) get-final-combination ...op/src/mainloop.rkt:309:0 infer-splitpoints [29] 100.0% ------------------------------------------------------------------------------------------ ??? [7] 100.0% [20] 1256(1.4%) 316(0.4%) for-loop ...bie/develop/src/core/taylor.rkt:408:30 hash-ref! [113] 74.8% ------------------------------------------------------------------------------------------ substitute-e [160] 31.0% free-variables [6] 32.7% for-loop [75] 36.3% [21] 986(1.1%) 306(0.3%) variable? ...e/develop/src/syntax/syntax.rkt:713:0 ??? [48] 69.0% ------------------------------------------------------------------------------------------ ??? [8] 100.0% [22] 932(1.0%) 0(0.0%) for-loop ...bie/develop/src/core/taylor.rkt:393:33 hash-ref! [113] 100.0% ------------------------------------------------------------------------------------------ loop [9] 100.0% [23] 360(0.4%) 0(0.0%) ??? .../herbie/develop/src/core/localize.rkt:43:32 ??? [101] 100.0% ------------------------------------------------------------------------------------------ profile-thunk16 [12] 100.0% [24] 88868(100.0%) 0(0.0%) run ...racket/share/pkgs/profile-lib/main.rkt:39:2 ??? [1] 100.0% ------------------------------------------------------------------------------------------ run-improve39 [13] 100.0% [25] 54482(61.3%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:303:8 run-iter! [32] 100.0% ------------------------------------------------------------------------------------------ taylor-exp [10] 3.9% for-loop [14] 3.9% taylor-quotient [108] 4.0% map [96] 8.0% hash-ref! [113] 80.1% [26] 7862(8.8%) 0(0.0%) simplify ...erbie/develop/src/core/reduce.rkt:16:0 f8 [92] 76.2% parse-loop14 [120] 15.7% simplify* [139] 4.1% simplify-node [37] 4.0% ------------------------------------------------------------------------------------------ approximate9 [2] 8.6% hash-ref! [113] 12.1% map [96] 14.5% for-loop [17] 25.8% taylor [27] 39.0% [27] 3774(4.2%) 0(0.0%) taylor ...herbie/develop/src/core/taylor.rkt:163:0 taylor [27] 39.0% loop [35] 28.8% map [96] 27.4% taylor-exp [10] 2.7% debug-print [38] 2.0% ------------------------------------------------------------------------------------------ for-loop [14] 100.0% [28] 3746(4.2%) 0(0.0%) ??? ...s/herbie/develop/src/core/taylor.rkt:285:19 hash-ref! [113] 100.0% ------------------------------------------------------------------------------------------ get-final-combination [19] 100.0% [29] 1856(2.1%) 0(0.0%) infer-splitpoints ...lop/src/core/regimes.rkt:21:0 for-loop [36] 100.0% ------------------------------------------------------------------------------------------ run-improve39 [13] 100.0% [30] 950(1.1%) 0(0.0%) setup-prog!32 ...bie/develop/src/mainloop.rkt:63:0 loop [33] 69.3% prepare-points [34] 30.7% ------------------------------------------------------------------------------------------ run-improve39 [13] 100.0% [31] 332(0.4%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:298:29 ??? [111] 100.0% ------------------------------------------------------------------------------------------ for-loop [25] 100.0% [32] 54482(61.3%) 0(0.0%) run-iter! ...herbie/develop/src/mainloop.rkt:267:0 finalize-iter! [39] 54.9% simplify! [40] 23.5% gen-series! [42] 16.1% gen-rewrites! [43] 3.6% localize-error [45] 1.9% ------------------------------------------------------------------------------------------ setup-prog!32 [30] 3.9% ??? [1] 96.1% [33] 16892(19.0%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:180:2 loop [49] 43.5% loop [41] 30.0% make-exacts* [50] 24.2% for-loop [46] 2.2% ------------------------------------------------------------------------------------------ setup-prog!32 [30] 1.9% ??? [1] 98.1% [34] 15306(17.2%) 0(0.0%) prepare-points ...bie/develop/src/points.rkt:156:0 make-exacts* [50] 39.0% loop [41] 32.3% loop [49] 26.7% for-loop [46] 2.0% ------------------------------------------------------------------------------------------ taylor [27] 100.0% [35] 2220(2.5%) 0(0.0%) loop ...s/herbie/develop/src/core/taylor.rkt:259:2 hash-ref! [113] 100.0% ------------------------------------------------------------------------------------------ infer-splitpoints [29] 100.0% [36] 1856(2.1%) 0(0.0%) for-loop ...rbie/develop/src/core/regimes.rkt:33:6 option-on-expr [44] 100.0% ------------------------------------------------------------------------------------------ map [96] 49.5% simplify [26] 50.5% [37] 618(0.7%) 0(0.0%) simplify-node .../develop/src/core/reduce.rkt:50:0 gather-multiplicative-terms [47] 50.5% append-map [98] 49.5% ------------------------------------------------------------------------------------------ taylor [27] 100.0% [38] 302(0.3%) 302(0.3%) debug-print .../herbie/develop/src/debug.rkt:107:0 ------------------------------------------------------------------------------------------ run-iter! [32] 100.0% [39] 29908(33.7%) 0(0.0%) finalize-iter! ...e/develop/src/mainloop.rkt:221:0 ??? [48] 100.0% ------------------------------------------------------------------------------------------ run-iter! [32] 100.0% [40] 12796(14.4%) 0(0.0%) simplify! ...herbie/develop/src/mainloop.rkt:181:0 for-loop [51] 100.0% ------------------------------------------------------------------------------------------ prepare-points [34] 49.4% loop [33] 50.6% [41] 10012(11.3%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:124:2 make-exacts* [50] 54.8% loop [49] 45.2% ------------------------------------------------------------------------------------------ run-iter! [32] 100.0% [42] 8790(9.9%) 0(0.0%) gen-series! ...rbie/develop/src/mainloop.rkt:151:0 for-loop [52] 100.0% ------------------------------------------------------------------------------------------ run-iter! [32] 100.0% [43] 1940(2.2%) 0(0.0%) gen-rewrites! ...ie/develop/src/mainloop.rkt:164:0 for-loop [53] 100.0% ------------------------------------------------------------------------------------------ for-loop [36] 100.0% [44] 1856(2.1%) 0(0.0%) option-on-expr ...velop/src/core/regimes.rkt:101:0 for-loop [54] 67.3% sort-context-on-expr [56] 16.5% err-lsts->split-indices [57] 16.2% ------------------------------------------------------------------------------------------ run-iter! [32] 100.0% [45] 1048(1.2%) 0(0.0%) localize-error ...velop/src/core/localize.rkt:47:0 hash-ref! [113] 100.0% ------------------------------------------------------------------------------------------ prepare-points [34] 44.8% loop [33] 55.2% [46] 688(0.8%) 0(0.0%) for-loop ...s/herbie/develop/src/points.rkt:195:19 ??? [55] 100.0% ------------------------------------------------------------------------------------------ simplify-node [37] 100.0% [47] 312(0.4%) 312(0.4%) gather-multiplicative-terms ...re/reduce.rkt:116:0 ------------------------------------------------------------------------------------------ for-loop [169] 2.0% variable? [21] 2.1% free-variables [6] 3.0% finalize-iter! [39] 92.9% [48] 32190(36.2%) 322(0.4%) ??? ...contract/private/arrow-val-first.rkt:388:18 for-loop [58] 92.9% hash-has-key? [61] 6.1% ------------------------------------------------------------------------------------------ prepare-points [34] 25.6% loop [41] 28.4% loop [33] 46.0% [49] 15958(18.0%) 0(0.0%) loop ...htlies/herbie/develop/src/points.rkt:107:4 loop [80] 100.0% ------------------------------------------------------------------------------------------ loop [33] 26.3% loop [41] 35.3% prepare-points [34] 38.4% [50] 15552(17.5%) 0(0.0%) make-exacts* ...erbie/develop/src/points.rkt:104:0 loop [80] 80.3% eval-prog [88] 19.7% ------------------------------------------------------------------------------------------ simplify! [40] 100.0% [51] 12796(14.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:185:6 for-loop [59] 100.0% ------------------------------------------------------------------------------------------ gen-series! [42] 100.0% [52] 8790(9.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:157:7 taylor-alt [60] 100.0% ------------------------------------------------------------------------------------------ gen-rewrites! [43] 100.0% [53] 1940(2.2%) 0(0.0%) for-loop ...herbie/develop/src/mainloop.rkt:169:11 ??? [62] 100.0% ------------------------------------------------------------------------------------------ option-on-expr [44] 100.0% [54] 1250(1.4%) 0(0.0%) for-loop ...bie/develop/src/core/regimes.rkt:109:4 errors [81] 100.0% ------------------------------------------------------------------------------------------ for-loop [46] 100.0% [55] 688(0.8%) 0(0.0%) ??? ...ghtlies/herbie/develop/src/points.rkt:172:7 for-loop [63] 55.2% ??? [130] 44.8% ------------------------------------------------------------------------------------------ option-on-expr [44] 100.0% [56] 306(0.3%) 0(0.0%) sort-context-on-expr ...evelop/src/points.rkt:90:0 ??? [64] 100.0% ------------------------------------------------------------------------------------------ option-on-expr [44] 100.0% [57] 300(0.3%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:244:0 loop [65] 100.0% ------------------------------------------------------------------------------------------ ??? [48] 100.0% [58] 29908(33.7%) 0(0.0%) for-loop ...ie/develop/src/core/alt-table.rkt:51:2 atab-add-altn [66] 95.6% loop [69] 4.4% ------------------------------------------------------------------------------------------ for-loop [51] 100.0% [59] 12796(14.4%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:209:8 ??? [101] 100.0% ------------------------------------------------------------------------------------------ for-loop [52] 100.0% [60] 8790(9.9%) 0(0.0%) taylor-alt ...erbie/develop/src/mainloop.rkt:136:0 for-loop [67] 100.0% ------------------------------------------------------------------------------------------ ??? [48] 100.0% [61] 1960(2.2%) 0(0.0%) hash-has-key? ...ket/private/more-scheme.rkt:371:2 ??? [192] 81.7% ??? [70] 18.3% ------------------------------------------------------------------------------------------ for-loop [53] 100.0% [62] 1940(2.2%) 0(0.0%) ??? ...ies/herbie/develop/src/alternative.rkt:60:0 rewriter [68] 100.0% ------------------------------------------------------------------------------------------ ??? [55] 100.0% [63] 380(0.4%) 0(0.0%) for-loop ...es/herbie/develop/src/points.rkt:173:9 ??? [101] 100.0% ------------------------------------------------------------------------------------------ sort-context-on-expr [56] 100.0% [64] 306(0.3%) 0(0.0%) ??? ...cket/collects/racket/private/sort.rkt:369:3 loop [71] 100.0% ------------------------------------------------------------------------------------------ err-lsts->split-indices [57] 100.0% [65] 300(0.3%) 0(0.0%) loop .../herbie/develop/src/core/regimes.rkt:295:4 for-loop [72] 100.0% ------------------------------------------------------------------------------------------ for-loop [58] 100.0% [66] 28606(32.2%) 0(0.0%) atab-add-altn ...elop/src/core/alt-table.rkt:210:0 override-at-pnts [73] 49.7% best-and-tied-at-points [74] 49.2% ------------------------------------------------------------------------------------------ taylor-alt [60] 100.0% [67] 8790(9.9%) 0(0.0%) for-loop .../herbie/develop/src/mainloop.rkt:142:6 ??? [101] 100.0% ------------------------------------------------------------------------------------------ matcher [82] 48.0% ??? [62] 52.0% [68] 1940(2.2%) 0(0.0%) rewriter ...bie/develop/src/core/matcher.rkt:131:2 for-loop [75] 84.6% *rules* [79] 15.4% ------------------------------------------------------------------------------------------ for-loop [58] 100.0% [69] 1302(1.5%) 0(0.0%) loop ...erbie/develop/src/core/alt-table.rkt:184:2 argmax [76] 25.7% paired-fold [77] 25.5% map [96] 24.7% loop [78] 24.1% ------------------------------------------------------------------------------------------ hash-has-key? [61] 100.0% [70] 358(0.4%) 358(0.4%) ??? ...ects/racket/contract/private/hash.rkt:283:7 ------------------------------------------------------------------------------------------ ??? [64] 100.0% [71] 306(0.3%) 0(0.0%) loop ...ket/collects/racket/private/sort.rkt:96:12 ??? [91] 100.0% ------------------------------------------------------------------------------------------ loop [65] 100.0% [72] 300(0.3%) 300(0.3%) for-loop ...bie/develop/src/core/regimes.rkt:260:4 ------------------------------------------------------------------------------------------ atab-add-altn [66] 100.0% [73] 14214(16.0%) 0(0.0%) override-at-pnts ...p/src/core/alt-table.rkt:145:0 errors [81] 93.5% for-loop [84] 6.5% ------------------------------------------------------------------------------------------ atab-add-altn [66] 100.0% [74] 14066(15.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [81] 97.6% for-loop [85] 2.4% ------------------------------------------------------------------------------------------ rewriter [68] 100.0% [75] 1642(1.8%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:134:10 matcher [82] 56.7% type-of [83] 36.0% variable? [21] 7.3% ------------------------------------------------------------------------------------------ loop [69] 100.0% [76] 334(0.4%) 0(0.0%) argmax ...92/racket/collects/racket/list.rkt:766:0 for-loop [156] 100.0% ------------------------------------------------------------------------------------------ loop [69] 100.0% [77] 332(0.4%) 332(0.4%) paired-fold ...llects/racket/private/hash.rkt:19:2 ------------------------------------------------------------------------------------------ loop [69] 100.0% [78] 314(0.4%) 314(0.4%) loop ...cket/collects/racket/private/hash.rkt:20:4 ------------------------------------------------------------------------------------------ rewriter [68] 100.0% [79] 298(0.3%) 0(0.0%) *rules* ...rbie/develop/src/syntax/rules.rkt:643:0 for-loop [86] 100.0% ------------------------------------------------------------------------------------------ map [96] 0.0% make-exacts* [50] 0.5% loop [49] 0.8% map-enodes [140] 1.0% parse-loop14 [120] 1.2% ??? [126] 5.3% loop [80] 90.2% [80] 32510(36.6%) 326(0.4%) loop ...cket/collects/racket/private/map.rkt:40:19 loop [80] 90.2% hash-ref! [113] 6.5% ??? [91] 1.2% set-precompute! [151] 1.0% ??? [101] 0.1% map [96] 0.0% ??? [212] 0.0% ------------------------------------------------------------------------------------------ for-loop [54] 4.4% override-at-pnts [73] 47.0% best-and-tied-at-points [74] 48.6% [81] 28278(31.8%) 0(0.0%) errors ...lies/herbie/develop/src/points.rkt:203:0 for-loop [87] 66.8% eval-prog [88] 33.2% ------------------------------------------------------------------------------------------ for-loop [89] 50.0% for-loop [75] 50.0% [82] 1642(1.8%) 0(0.0%) matcher ...rbie/develop/src/core/matcher.rkt:168:2 for-loop [89] 50.0% rewriter [68] 50.0% ------------------------------------------------------------------------------------------ for-loop [75] 100.0% [83] 1284(1.4%) 0(0.0%) type-of .../herbie/develop/src/type-check.rkt:34:0 ??? [188] 48.1% for-loop [201] 28.0% ...velop/src/common.rkt:48:2 [185] 23.8% ------------------------------------------------------------------------------------------ override-at-pnts [73] 100.0% [84] 920(1.0%) 610(0.7%) for-loop .../develop/src/core/alt-table.rkt:146:43 ??? [90] 33.7% ------------------------------------------------------------------------------------------ best-and-tied-at-points [74] 100.0% [85] 332(0.4%) 332(0.4%) for-loop .../develop/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------------------------ *rules* [79] 100.0% [86] 298(0.3%) 298(0.3%) for-loop ...ies/herbie/develop/src/common.rkt:92:9 ------------------------------------------------------------------------------------------ errors [81] 100.0% [87] 18888(21.3%) 1222(1.4%) for-loop ...es/herbie/develop/src/points.rkt:206:4 ??? [91] 90.3% ??? [101] 3.2% ------------------------------------------------------------------------------------------ make-exacts* [50] 24.6% errors [81] 75.4% [88] 12454(14.0%) 0(0.0%) eval-prog ...herbie/develop/src/programs.rkt:109:0 temp68_2 [93] 49.9% f8 [92] 25.6% hash-ref! [113] 19.2% eval [100] 2.6% loop [176] 2.6% ------------------------------------------------------------------------------------------ matcher [82] 100.0% [89] 1642(1.8%) 0(0.0%) for-loop ...ie/develop/src/core/matcher.rkt:184:21 matcher [82] 100.0% ------------------------------------------------------------------------------------------ for-loop [84] 100.0% [90] 310(0.3%) 310(0.3%) ??? ...ket/collects/racket/private/for.rkt:1208:14 ------------------------------------------------------------------------------------------ loop [71] 0.7% for-loop [87] 38.9% loop [80] 60.4% [91] 43786(49.3%) 1326(1.5%) ??? ...tlies/herbie/develop/src/programs.rkt:129:2 ??? [94] 76.6% bf [97] 15.2% ??? [101] 5.1% ------------------------------------------------------------------------------------------ parse-loop14 [120] 1.5% composed [99] 4.0% append-map [98] 6.6% hash-ref! [113] 7.1% eval-prog [88] 7.4% map [96] 11.3% f8 [92] 24.9% simplify [26] 37.2% [92] 9882(11.1%) 310(0.3%) f8 ...et/collects/racket/match/compiler.rkt:507:40 map [96] 46.8% f8 [92] 24.9% append-map [98] 10.6% ...velop/src/common.rkt:48:2 [185] 4.2% composed [99] 4.0% eval [100] 3.1% ??? [101] 2.2% table-ref [184] 1.0% ------------------------------------------------------------------------------------------ parse-loop14 [120] 26.0% eval-prog [88] 74.0% [93] 8402(9.5%) 0(0.0%) temp68_2 (unknown source) compile16 [95] 100.0% ------------------------------------------------------------------------------------------ ??? [91] 100.0% [94] 33556(37.8%) 11676(13.1%) ??? ...acket/collects/racket/private/kw.rkt:592:14 ??? [112] 24.8% bf* [103] 10.6% ??? [104] 9.4% ??? [212] 8.8% ??? [105] 8.3% ...higher-order.rkt:361:33 [106] 3.2% ------------------------------------------------------------------------------------------ temp68_2 [93] 100.0% [95] 8402(9.5%) 0(0.0%) compile16 (unknown source) temp74_0 [102] 100.0% ------------------------------------------------------------------------------------------ loop [69] 4.4% loop [80] 7.0% taylor [27] 27.6% f8 [92] 61.0% [96] 7350(8.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:35:13 parse-loop14 [120] 31.9% taylor [27] 20.5% f8 [92] 19.7% ??? [101] 7.0% hash-ref! [113] 4.8% loop [80] 4.4% taylor-quotient [108] 4.2% simplify [26] 2.9% loop [9] 2.4% simplify-node [37] 1.4% simplify* [139] 0.8% ------------------------------------------------------------------------------------------ ??? [91] 100.0% [97] 6660(7.5%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:601:2 new-mpfr [145] 79.2% ??? [135] 20.8% ------------------------------------------------------------------------------------------ simplify-node [37] 16.1% f8 [92] 83.9% [98] 1896(2.1%) 300(0.3%) append-map ...acket/collects/racket/list.rkt:586:2 f8 [92] 47.1% free-variables [6] 28.8% parse-loop14 [120] 16.1% ------------------------------------------------------------------------------------------ f8 [92] 100.0% [99] 1590(1.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f8 [92] 100.0% ------------------------------------------------------------------------------------------ f8 [92] 48.1% eval-prog [88] 51.9% [100] 636(0.7%) 0(0.0%) eval (unknown source) add-ns-scopes [107] 51.9% namespace-syntax-introduce3 [109] 48.1% ------------------------------------------------------------------------------------------ ??? [23] 1.2% for-loop [63] 1.3% for-loop [87] 2.1% map [96] 2.4% loop [15] 2.6% ??? [122] 3.9% f8 [92] 4.5% loop [80] 5.7% ??? [91] 7.8% for-loop [67] 12.0% for-loop [59] 22.2% location-do [110] 32.3% [101] 28806(32.4%) 1024(1.2%) ??? ...tract/private/arrow-higher-order.rkt:357:33 location-do [110] 34.2% ??? [111] 22.2% ->flonum [115] 20.2% approximate9 [2] 12.0% hash-ref! [113] 6.5% ------------------------------------------------------------------------------------------ compile16 [95] 100.0% [102] 8402(9.5%) 304(0.3%) temp74_0 (unknown source) expand-single [114] 78.0% compile-top9 [116] 18.4% ------------------------------------------------------------------------------------------ ??? [94] 100.0% [103] 3560(4.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [112] 100.0% ------------------------------------------------------------------------------------------ ??? [94] 100.0% [104] 3156(3.6%) 2190(2.5%) ??? ...herbie/develop/src/syntax/syntax.rkt:195:17 return/no-unsupplied [125] 21.1% ??? [129] 9.5% ------------------------------------------------------------------------------------------ ??? [94] 100.0% [105] 2798(3.1%) 2798(3.1%) ??? ...rivate/unconstrained-domain-arrow.rkt:40:13 ------------------------------------------------------------------------------------------ ??? [94] 100.0% [106] 1082(1.2%) 0(0.0%) ...higher-order.rkt:361:33 (unknown source) ??? [206] 100.0% ------------------------------------------------------------------------------------------ eval [100] 100.0% [107] 330(0.4%) 0(0.0%) add-ns-scopes (unknown source) gf [179] 100.0% ------------------------------------------------------------------------------------------ map [96] 100.0% [108] 312(0.4%) 0(0.0%) taylor-quotient ...velop/src/core/taylor.rkt:325:0 simplify [26] 100.0% ------------------------------------------------------------------------------------------ eval [100] 100.0% [109] 306(0.3%) 306(0.3%) namespace-syntax-introduce3 (unknown source) ------------------------------------------------------------------------------------------ ??? [101] 30.1% location-do [110] 69.9% [110] 21586(24.3%) 0(0.0%) location-do ...erbie/develop/src/programs.rkt:90:0 location-do [110] 69.9% ??? [101] 29.0% ------------------------------------------------------------------------------------------ for-loop [31] 2.5% ??? [101] 97.5% [111] 13128(14.8%) 0(0.0%) ??? ...s/herbie/develop/src/core/simplify.rkt:31:0 iterate-egraph!7 [117] 88.4% loop [128] 11.6% ------------------------------------------------------------------------------------------ bf* [103] 29.9% ??? [94] 70.1% [112] 11894(13.4%) 3224(3.6%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfmul [119] 48.9% bfacos [123] 24.0% ------------------------------------------------------------------------------------------ simplify* [139] 0.9% for-loop [20] 1.2% for-loop [22] 1.4% map [96] 2.2% for-loop [18] 5.1% localize-error [45] 5.4% loop [15] 6.6% ??? [28] 7.4% for-loop [14] 9.7% ??? [121] 10.4% loop [35] 10.4% eval-prog [88] 12.0% loop [80] 12.7% ??? [101] 14.7% [113] 10680(12.0%) 1238(1.4%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [3] 19.9% simplify [26] 17.3% bigfloat-hash [124] 11.3% ??? [126] 10.5% ??? [121] 10.4% ??? [122] 6.6% parse-loop14 [120] 6.5% ??? [4] 5.1% f8 [92] 3.3% ??? [7] 1.8% taylor [27] 1.4% ??? [8] 1.4% ------------------------------------------------------------------------------------------ temp74_0 [102] 100.0% [114] 6550(7.4%) 0(0.0%) expand-single (unknown source) expand-capturing-lifts [118] 100.0% ------------------------------------------------------------------------------------------ ??? [101] 100.0% [115] 5816(6.5%) 2216(2.5%) ->flonum ...s/herbie/develop/src/programs.rkt:36:0 return/no-unsupplied [125] 23.4% ??? [129] 10.9% ??? [131] 5.8% arrow-higher-order:lnp [203] 5.7% list-member? [132] 5.5% ??? [130] 5.4% ...velop/src/common.rkt:48:2 [185] 5.3% ------------------------------------------------------------------------------------------ temp74_0 [102] 100.0% [116] 1548(1.7%) 0(0.0%) compile-top9 (unknown source) compile-forms31 [127] 100.0% ------------------------------------------------------------------------------------------ ??? [111] 100.0% [117] 11604(13.1%) 0(0.0%) iterate-egraph!7 ...lop/src/core/simplify.rkt:55:0 one-iter [133] 92.0% map-enodes [140] 8.0% ------------------------------------------------------------------------------------------ loop [176] 4.7% expand-single [114] 95.3% [118] 6874(7.7%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [134] 81.3% dispatch-transformer41 [136] 14.1% for-loop [197] 4.6% ------------------------------------------------------------------------------------------ ??? [112] 100.0% [119] 5812(6.5%) 372(0.4%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [145] 69.7% ??? [135] 23.9% ------------------------------------------------------------------------------------------ append-map [98] 5.3% parse-loop14 [120] 11.5% simplify [26] 15.3% hash-ref! [113] 18.2% map [96] 49.7% [120] 5758(6.5%) 1882(2.1%) parse-loop14 ...s/racket/match/compiler.rkt:418:15 temp68_2 [93] 31.8% loop [80] 18.2% parse-loop14 [120] 11.5% eval-one-top12 [143] 5.8% simplify* [139] 2.7% f8 [92] 2.6% ------------------------------------------------------------------------------------------ hash-ref! [113] 100.0% [121] 4706(5.3%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:44:15 hash-ref! [113] 100.0% ------------------------------------------------------------------------------------------ hash-ref! [113] 100.0% [122] 3412(3.8%) 0(0.0%) ??? ...es/herbie/develop/src/core/taylor.rkt:67:15 ??? [101] 100.0% ------------------------------------------------------------------------------------------ ??? [112] 100.0% [123] 2858(3.2%) 368(0.4%) bfacos ...lib/math/private/bigfloat/mpfr.rkt:618:4 ??? [135] 49.1% new-mpfr [145] 38.1% ------------------------------------------------------------------------------------------ hash-ref! [113] 100.0% [124] 2102(2.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:167:0 bfcanonicalize [137] 82.4% sig+exp->bigfloat [141] 17.6% ------------------------------------------------------------------------------------------ ??? [104] 32.8% ->flonum [115] 67.2% [125] 2028(2.3%) 1668(1.9%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 filter [142] 17.8% ------------------------------------------------------------------------------------------ hash-ref! [113] 100.0% [126] 1736(2.0%) 0(0.0%) ??? ...tlies/herbie/develop/src/programs.rkt:153:5 loop [80] 100.0% ------------------------------------------------------------------------------------------ compile-top9 [116] 100.0% [127] 1548(1.7%) 298(0.3%) compile-forms31 (unknown source) for-loop [197] 80.7% ------------------------------------------------------------------------------------------ ??? [111] 100.0% [128] 1524(1.7%) 0(0.0%) loop ...herbie/develop/src/core/simplify.rkt:184:2 for-loop [138] 100.0% ------------------------------------------------------------------------------------------ ??? [104] 32.2% ->flonum [115] 67.8% [129] 932(1.0%) 612(0.7%) ??? ...s/racket/contract/private/arr-i.rkt:1252:29 ??? [144] 34.3% ------------------------------------------------------------------------------------------ ??? [55] 49.5% ->flonum [115] 50.5% [130] 622(0.7%) 314(0.4%) ??? ...tract/private/arrow-higher-order.rkt:361:33 ??? [212] 49.5% ------------------------------------------------------------------------------------------ ->flonum [115] 100.0% [131] 336(0.4%) 336(0.4%) ??? ...ntract/private/arrow-higher-order.rkt:554:2 ------------------------------------------------------------------------------------------ ->flonum [115] 100.0% [132] 320(0.4%) 320(0.4%) list-member? ...llects/racket/private/set.rkt:24:0 ------------------------------------------------------------------------------------------ iterate-egraph!7 [117] 100.0% [133] 10670(12.0%) 334(0.4%) one-iter ...bie/develop/src/core/simplify.rkt:66:0 for-loop [146] 72.7% for-loop [149] 24.1% ------------------------------------------------------------------------------------------ expand-capturing-lifts [118] 100.0% [134] 5586(6.3%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [147] 82.5% loop [176] 17.5% ------------------------------------------------------------------------------------------ bf [97] 33.2% bfmul [119] 33.2% bfacos [123] 33.6% [135] 4176(4.7%) 4176(4.7%) ??? /home/p92/racket/collects/ffi/unsafe.rkt:898:4 ------------------------------------------------------------------------------------------ for-loop [197] 25.4% expand-capturing-lifts [118] 37.2% loop [176] 37.5% [136] 2610(2.9%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [148] 100.0% ------------------------------------------------------------------------------------------ bigfloat-hash [124] 100.0% [137] 1732(1.9%) 1732(1.9%) bfcanonicalize .../private/bigfloat/mpfr.rkt:157:0 ------------------------------------------------------------------------------------------ loop [128] 100.0% [138] 1524(1.7%) 0(0.0%) for-loop ...e/develop/src/core/simplify.rkt:177:29 argmin [150] 80.3% loop [152] 19.7% ------------------------------------------------------------------------------------------ map [96] 32.8% parse-loop14 [120] 32.8% simplify [26] 34.3% [139] 944(1.1%) 310(0.3%) simplify* ...rbie/develop/src/core/reduce.rkt:31:0 hash-ref! [113] 67.2% ------------------------------------------------------------------------------------------ iterate-egraph!7 [117] 100.0% [140] 934(1.1%) 0(0.0%) map-enodes ...ie/develop/src/core/egraph.rkt:140:0 loop [80] 67.7% set-precompute! [151] 32.3% ------------------------------------------------------------------------------------------ bigfloat-hash [124] 100.0% [141] 370(0.4%) 0(0.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:387:0 new-mpfr [145] 100.0% ------------------------------------------------------------------------------------------ return/no-unsupplied [125] 100.0% [142] 360(0.4%) 360(0.4%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------------------------ parse-loop14 [120] 100.0% [143] 334(0.4%) 334(0.4%) eval-one-top12 (unknown source) ------------------------------------------------------------------------------------------ ??? [129] 100.0% [144] 320(0.4%) 320(0.4%) ??? ...ects/racket/contract/private/prop.rkt:274:4 ------------------------------------------------------------------------------------------ sig+exp->bigfloat [141] 3.4% bfacos [123] 10.1% bfmul [119] 37.6% bf [97] 48.9% [145] 10784(12.1%) 10784(12.1%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ------------------------------------------------------------------------------------------ for-loop [146] 47.9% one-iter [133] 52.1% [146] 7760(8.7%) 3468(3.9%) for-loop ...ie/develop/src/core/simplify.rkt:76:12 for-loop [146] 47.9% match-e [153] 27.7% ------------------------------------------------------------------------------------------ lambda-clause-expander [134] 17.2% for-loop [197] 82.8% [147] 4608(5.2%) 0(0.0%) finish-bodys (unknown source) for-loop [197] 100.0% ------------------------------------------------------------------------------------------ dispatch-transformer41 [136] 100.0% [148] 2610(2.9%) 0(0.0%) apply-transformer52 (unknown source) apply-transformer-in-context [155] 75.2% apply-post-expansion [158] 12.4% loop [176] 12.3% ------------------------------------------------------------------------------------------ one-iter [133] 100.0% [149] 2576(2.9%) 0(0.0%) for-loop ...ie/develop/src/core/simplify.rkt:113:2 for-loop [154] 100.0% ------------------------------------------------------------------------------------------ for-loop [138] 100.0% [150] 1224(1.4%) 0(0.0%) argmin ...92/racket/collects/racket/list.rkt:765:0 for-loop [156] 100.0% ------------------------------------------------------------------------------------------ map-enodes [140] 32.3% loop [80] 67.7% [151] 934(1.1%) 0(0.0%) set-precompute! ...lop/src/core/simplify.rkt:140:0 for-loop [157] 100.0% ------------------------------------------------------------------------------------------ for-loop [138] 100.0% [152] 300(0.3%) 0(0.0%) loop .../p92/racket/collects/racket/list.rkt:751:4 for-loop [156] 100.0% ------------------------------------------------------------------------------------------ for-loop [171] 3.8% for-loop [146] 96.2% [153] 4292(4.8%) 2776(3.1%) match-e ...herbie/develop/src/core/ematch.rkt:46:0 for-loop [159] 32.2% custom-in-set [166] 6.9% ------------------------------------------------------------------------------------------ for-loop [149] 100.0% [154] 2576(2.9%) 0(0.0%) for-loop ...bie/develop/src/core/simplify.rkt:98:4 substitute-e [160] 51.2% mk-enode! [174] 35.9% merge-egraph-nodes! [164] 12.9% ------------------------------------------------------------------------------------------ apply-transformer52 [148] 100.0% [155] 1964(2.2%) 0(0.0%) apply-transformer-in-context (unknown source) parse-app [161] 50.2% ??? [162] 33.4% go [165] 16.4% ------------------------------------------------------------------------------------------ loop [152] 16.1% argmax [76] 18.0% argmin [150] 65.9% [156] 1858(2.1%) 0(0.0%) for-loop .../herbie/develop/src/programs.rkt:169:2 table-ref [184] 83.9% ...velop/src/common.rkt:48:2 [185] 16.1% ------------------------------------------------------------------------------------------ set-precompute! [151] 100.0% [157] 934(1.1%) 300(0.3%) for-loop ...ie/develop/src/core/simplify.rkt:142:2 setfindf [163] 67.9% ------------------------------------------------------------------------------------------ apply-transformer52 [148] 100.0% [158] 324(0.4%) 0(0.0%) apply-post-expansion (unknown source) gf [179] 100.0% ------------------------------------------------------------------------------------------ match-e [153] 100.0% [159] 1542(1.7%) 920(1.0%) for-loop ...rbie/develop/src/core/ematch.rkt:59:11 for-loop [171] 21.0% list-cartesian-product [173] 19.3% ------------------------------------------------------------------------------------------ for-loop [167] 11.6% for-loop [154] 88.4% [160] 1318(1.5%) 0(0.0%) substitute-e ...e/develop/src/core/ematch.rkt:71:0 for-loop [167] 88.4% variable? [21] 11.6% ------------------------------------------------------------------------------------------ apply-transformer-in-context [155] 100.0% [161] 986(1.1%) 640(0.7%) parse-app ...collects/racket/private/kw.rkt:1105:2 syntax->list [175] 35.1% ------------------------------------------------------------------------------------------ apply-transformer-in-context [155] 100.0% [162] 656(0.7%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [168] 100.0% ------------------------------------------------------------------------------------------ for-loop [157] 100.0% [163] 634(0.7%) 0(0.0%) setfindf ...es/herbie/develop/src/common.rkt:176:0 for-loop [169] 100.0% ------------------------------------------------------------------------------------------ for-loop [154] 100.0% [164] 332(0.4%) 0(0.0%) merge-egraph-nodes! ...p/src/core/egraph.rkt:153:0 update-leader! 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[168] 48.2% parse-app [161] 51.8% [175] 668(0.8%) 0(0.0%) syntax->list (unknown source) loop [176] 100.0% ------------------------------------------------------------------------------------------ eval-prog [88] 2.2% loop [176] 3.3% syntax->list [175] 5.6% apply-transformer52 [148] 6.4% gf [179] 7.6% for-loop [197] 13.6% lambda-clause-expander [134] 15.2% syntax-e/no-taint [16] 46.1% [176] 5010(5.6%) 1000(1.1%) loop (unknown source) gf [179] 47.4% dispatch-transformer41 [136] 15.2% core-form-sym [182] 13.2% expand-id-application-form17 [181] 6.9% syntax-e [5] 5.6% loop [176] 3.3% expand-capturing-lifts [118] 2.2% ------------------------------------------------------------------------------------------ mk-enode! [174] 100.0% [177] 1638(1.8%) 0(0.0%) new-enode ...erbie/develop/src/core/enode.rkt:95:0 type-of-enode-expr [180] 81.1% set [183] 18.9% ------------------------------------------------------------------------------------------ mk-enode! [174] 100.0% [178] 300(0.3%) 300(0.3%) for-loop ...bie/develop/src/core/egraph.rkt:114:10 ------------------------------------------------------------------------------------------ add-ns-scopes [107] 2.0% apply-post-expansion [158] 4.8% loop [176] 93.2% [179] 3348(3.8%) 0(0.0%) gf (unknown source) propagation-apply [186] 40.8% loop [176] 19.5% propagation-apply-shifted [189] 19.2% propagation-merge [190] 10.5% cache-or-reuse-set [191] 10.0% ------------------------------------------------------------------------------------------ new-enode [177] 100.0% [180] 1328(1.5%) 0(0.0%) type-of-enode-expr ...elop/src/core/enode.rkt:68:0 for-loop [201] 27.6% ??? 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[214] 11.0% ------------------------------------------------------------------------------------------ for-loop [156] 13.9% type-of-enode-expr [180] 14.0% type-of [83] 14.2% ->flonum [115] 14.2% f8 [92] 43.7% [185] 2158(2.4%) 1530(1.7%) ...velop/src/common.rkt:48:2 ...e/arr-i.rkt:918:19 ??? [195] 15.1% ??? [196] 14.0% ------------------------------------------------------------------------------------------ gf [179] 100.0% [186] 1366(1.5%) 1366(1.5%) propagation-apply (unknown source) ------------------------------------------------------------------------------------------ expand-identifier [11] 23.9% core-form-sym [182] 26.0% expand-implicit [202] 50.1% [187] 1238(1.4%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [193] 100.0% ------------------------------------------------------------------------------------------ type-of-enode-expr [180] 35.8% type-of [83] 64.2% [188] 962(1.1%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:227:4 contract-pos/neg-doubling/proc [194] 100.0% ------------------------------------------------------------------------------------------ gf [179] 100.0% [189] 644(0.7%) 644(0.7%) propagation-apply-shifted (unknown source) ------------------------------------------------------------------------------------------ gf [179] 100.0% [190] 350(0.4%) 350(0.4%) propagation-merge (unknown source) ------------------------------------------------------------------------------------------ gf [179] 100.0% [191] 334(0.4%) 334(0.4%) cache-or-reuse-set (unknown source) ------------------------------------------------------------------------------------------ hash-has-key? [61] 41.9% table-ref [184] 58.1% [192] 3820(4.3%) 968(1.1%) ??? ...ects/racket/contract/private/list.rkt:798:4 for-loop [198] 50.1% successfully-got-the-right-kind-of-function [199] 16.3% ??? [204] 8.3% ------------------------------------------------------------------------------------------ resolve+shift28 [187] 100.0% [193] 1238(1.4%) 0(0.0%) fallback-loop (unknown source) for-loop [197] 100.0% ------------------------------------------------------------------------------------------ ??? [188] 100.0% [194] 962(1.1%) 962(1.1%) contract-pos/neg-doubling/proc ...e/guts.rkt:956:0 ------------------------------------------------------------------------------------------ ...velop/src/common.rkt:48:2 [185] 100.0% [195] 326(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:367:4 ??? 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[204] 16.2% ------------------------------------------------------------------------------------------ ??? [192] 100.0% [199] 624(0.7%) 624(0.7%) successfully-got-the-right-kind-of-function ...5:4 ------------------------------------------------------------------------------------------ ??? [195] 100.0% [200] 326(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/hash.rkt:236:9 check-hash/c [205] 100.0% ------------------------------------------------------------------------------------------ type-of [83] 26.7% type-of-enode-expr [180] 27.1% for-loop [198] 46.2% [201] 1350(1.5%) 322(0.4%) for-loop ...racket/contract/private/hash.rkt:277:6 ??? [206] 76.1% ------------------------------------------------------------------------------------------ for-loop [197] 100.0% [202] 1258(1.4%) 318(0.4%) expand-implicit (unknown source) resolve+shift28 [187] 49.3% binding-lookup50 [209] 25.4% ------------------------------------------------------------------------------------------ for-loop [198] 50.0% ->flonum [115] 50.0% [203] 660(0.7%) 330(0.4%) arrow-higher-order:lnp ...w-higher-order.rkt:633:7 ??? [207] 50.0% ------------------------------------------------------------------------------------------ for-loop [198] 49.5% ??? [192] 50.5% [204] 626(0.7%) 316(0.4%) ??? ...private/unconstrained-domain-arrow.rkt:74:4 make-keyword-procedure [210] 49.5% ------------------------------------------------------------------------------------------ ??? [200] 100.0% [205] 326(0.4%) 0(0.0%) check-hash/c ...ket/contract/private/hash.rkt:83:0 flat-contract? [208] 100.0% ------------------------------------------------------------------------------------------ for-loop [201] 48.7% ...higher-order.rkt:361:33 [106] 51.3% [206] 2110(2.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:209:10 ??? [213] 51.3% ??? [211] 48.7% ------------------------------------------------------------------------------------------ arrow-higher-order:lnp [203] 100.0% [207] 330(0.4%) 330(0.4%) ??? ...et/contract/private/arity-checking.rkt:19:2 ------------------------------------------------------------------------------------------ check-hash/c [205] 100.0% [208] 326(0.4%) 326(0.4%) flat-contract? .../contract/private/guts.rkt:122:0 ------------------------------------------------------------------------------------------ expand-implicit [202] 100.0% [209] 320(0.4%) 320(0.4%) binding-lookup50 (unknown source) ------------------------------------------------------------------------------------------ ??? [204] 100.0% [210] 310(0.3%) 310(0.3%) make-keyword-procedure ...ket/private/kw.rkt:407:4 ------------------------------------------------------------------------------------------ ??? [206] 100.0% [211] 1028(1.2%) 0(0.0%) ??? ...ects/racket/contract/private/list.rkt:747:7 ??? [213] 70.6% ??? [212] 29.4% ------------------------------------------------------------------------------------------ ??? [211] 7.7% ??? [130] 7.8% loop [80] 9.4% ??? [94] 75.1% [212] 3930(4.4%) 3320(3.7%) ??? ...ects/racket/contract/private/prop.rkt:519:4 ??? [215] 15.5% ------------------------------------------------------------------------------------------ ??? [196] 14.3% ??? [211] 34.4% ??? [206] 51.3% [213] 2110(2.4%) 1808(2.0%) ??? ...ects/racket/contract/private/guts.rkt:746:8 dict? [214] 14.3% ------------------------------------------------------------------------------------------ ??? 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